Therefrom, it's easy to conclude that \( \lim _{d\rightarrow \infty }T_{min}/T_{HP}=1\) , pointed that there will be no metastable large black hole phase when \(d\rightarrow \infty \) . Moreover, in Ref.[1]}, the authors discovered a fascinating holographic-like relation between \(T_{HP}(d)\)  and \(T_{min}(d+1)\) , namely
\(T_{HP}(d)=T_{min}(d+1).\) 
